PLS HELP WITH THIS QUESTION

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

Answer:

Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.

Step-by-step explanation:

6 + 1 8 = 2 - 6 4

Distribute.

Answer:

x= -20.5

Step-by-step explanation:

6x + 18 = 2x -64

-18 from both sides

6x = 2x - 82

-2x from both sides

4x = -82

divide by 4 on both sides

x= -20.5

Answer:

j=10

Step-by-step explanation:

17+7j=87

7j=70

j=10

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

Answer:

1800 bricks

Step-by-step explanation:

Given

Sidewalk = 100ft by 4ft

Brick = 8 inches by 4 inches

Required

Determine the minimum number of bricks

First, we need to determine the area of both;

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Number of bricks is calculated as follows;

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert ft^2 to in^2

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

Answer: B

Step-by-step explanation:

Answer:

5% solution needed = 5.7 liters

40% solution needed = 4.3 liters

Step-by-step explanation:

Let the amount of 5% solution is needed = x liters

And the amount of 40% solution is needed = y liters

Concentration of the final solution = 20%

5x + 40y = 20(x + y)

x + 8y = 4(x + y)

4y = 3x

x = [tex]\frac{4}{3}y[/tex] -------(1)

Total volume of the final solution needed = 10 liters

Therefore, x + y = 10 --------(2)

Now substitute the value of x from equation (1) to equation (2).

[tex]\frac{4}{3}y+y=10[/tex]

[tex]\frac{7}{3}y=10[/tex]

y = 4.3 liters

From equation (2),

x + 4.3 = 10

x = 5.7 liters

Answer:

-2/7

Step-by-step explanation:

Answer:

$64

Step-by-step explanation:

Since there were 4 of them and the coupons were $10 off, they saved a total of $40

To find how much they would have spent without the coupons, add 40 to 216:

216 + 40

= 256

To find the normal cost of one ticket, divide this by 4:

256/4

= 64

So, the price of one concert ticket without the coupon is $64

Answer:

$105.22

Step-by-step explanation:

Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2

Answer:

[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

You have to divide 180 by 3 to get the cost per hour :)

Answer:

0.81

Step-by-step explanation:

Answer: 2x= 40 so 2x20=40

Step-by-step explanation:every triangle has to add up to 180 digrees

65+75+40=180

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Answer:

her mom spent 11 dollars

Step-by-step explanation:

20-9 is 11

Answer:

Her mom spent $11

Step-by-step explanation:

$20-9= $11

Answer:

About 9 kilometers

Step-by-step explanation:

15x.6= 9

Answer: x = 9

Step-by-step explanation:

I’ll use x as the number of kilometers Emma bikes

1/0.6 = 15/x - set up proportion

1x = 9 cross products

x = 9 - divide both sides by 1 and you get 9

Answer:

5

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

Answer:

your answer is x= 3

Hope this helps!

Answer:

Step-by-step explanation:

given data

cost of pizza $7.5

cost of delivery=$14

let the the number of pizza be p

let the total cost of x pizza be y

the expression for the total cost of x pizza is

y=7.5+14p

given that y=$60

60=7.5+14p

solving for x we have

14p=60-7.5

14p=52.5

p=52.5/14

p=3.75

therefore the total slices is

3.75*8= 30slices

Answer:

factor x+7 (so (x+7)(x+7)) and then solve like a normal equation

Answer:

h(-5) = 10

Step-by-step explanation:

h(x) = -4x - 10

Let x = -5

h(-5) = -4*-5 - 10

         = 20 -10

         = 10